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Finding the Fourth Proportional to 460,790, 635,922.84 and 259,586

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Solution

The fourth proportional to 460,790, 635,922.84 and 259,586 is: 358,247.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,790 : 635,922.84 = 259,586 : x
  2. Step 2: Convert to fraction form
    460,790/635,922.84 = 259,586/x
  3. Step 3: Cross multiply
    460,790x = 635,922.84 × 259,586
  4. Step 4: Simplify right side
    460,790x = 165,076,666,344.24
  5. Step 5: Solve for x
    x = 165,076,666,344.24/460,790
  6. Step 6: Final answer
    x = 358,247.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.